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Finding the Fourth Proportional to 510.89, 706.25 and 465.33

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Solution

The fourth proportional to 510.89, 706.25 and 465.33 is: 643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.89 : 706.25 = 465.33 : x
  2. Step 2: Convert to fraction form
    510.89/706.25 = 465.33/x
  3. Step 3: Cross multiply
    510.89x = 706.25 × 465.33
  4. Step 4: Simplify right side
    510.89x = 328,636.99
  5. Step 5: Solve for x
    x = 328,636.99/510.89
  6. Step 6: Final answer
    x = 643.27

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.